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x/(3+x)=a

 Mar 31, 2016
 #1
avatar+118723 
0

What about it ???

 Mar 31, 2016
 #2
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0

Making x the subject of the equation we get that 

\(x=a(3+x)\)

\(x=3a+ax\)

\(\frac{x}{x}=3a+\frac{ax}{x} \)

\(1=4a \)

\(\frac{1}{4}=a\)

Now we can solve for x

\(\frac{x}{3+x}=\frac{1}{4}\)

\(x=\frac{1}{4}(3+x)\)

\(x=\frac{3}{4}+\frac{x}{4}\)

\(4x=\frac{3}{4}+x\)

\(3x=\frac{3}{4}\)

\(x=\frac{1}{4}\)

 Mar 31, 2016
edited by Guest  Mar 31, 2016
 #3
avatar+118723 
0

Hi guest,

 

In your 3rd line you forgot to divide a by x

 

Plus what happens if x=0  you cannot divide by 0 ://

 

Very nice use of LaTex though :))

 Mar 31, 2016
 #4
avatar+118723 
0

Sorry I meant that you forgot to divide 3a by x

Melody  Mar 31, 2016
 #5
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+5

Oh i see thanks for pointing out my mistake!

 Mar 31, 2016

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